Search a number
-
+
203412403120410 = 232511318919644261
BaseRepresentation
bin101110010000000010100100…
…000001111110100100011010
3222200020000222010010111121100
4232100002210001332210122
5203130202100144323120
62000342211251052230
760563026655255541
oct5620024401764432
9880200863114540
10203412403120410
11598a479667a360
121a99282a2a1076
138966926c56603
1438332da075158
15187b35402a490
hexb900a407e91a

203412403120410 has 96 divisors (see below), whose sum is σ = 576954248008320. Its totient is φ = 49311866563200.

The previous prime is 203412403120393. The next prime is 203412403120417. The reversal of 203412403120410 is 14021304214302.

203412403120410 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 1 + 240 + 3 + 1 + 2 + 0 + 410 = 666.

It is not an unprimeable number, because it can be changed into a prime (203412403120417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315407680 + ... + 316051940.

It is an arithmetic number, because the mean of its divisors is an integer number (6009940083420).

Almost surely, 2203412403120410 is an apocalyptic number.

203412403120410 is an abundant number, since it is smaller than the sum of its proper divisors (373541844887910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

203412403120410 is a wasteful number, since it uses less digits than its factorization.

203412403120410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963204 (or 963201 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 203412403120410 its reverse (14021304214302), we get a palindrome (217433707334712).

The spelling of 203412403120410 in words is "two hundred three trillion, four hundred twelve billion, four hundred three million, one hundred twenty thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 318919 637838 644261 956757 1288522 1594595 1913514 1932783 2870271 3189190 3221305 3508109 3865566 4783785 5740542 5798349 6442610 7016218 7086871 9567570 9663915 10524327 11596698 14173742 14351355 17540545 19327830 21048654 21260613 28702710 28991745 31572981 35081090 35434355 42521226 52621635 57983490 63145962 63781839 70868710 105243270 106303065 127563678 157864905 212606130 315729810 318909195 637818390 205467073859 410934147718 616401221577 1027335369295 1232802443154 1849203664731 2054670738590 2260137812449 3082006107885 3698407329462 4520275624898 6164012215770 6780413437347 9246018323655 11300689062245 13560826874694 18492036647310 20341240312041 22601378124490 33902067186735 40682480624082 67804134373470 101706201560205 203412403120410